# Bhaskara-\(2008\)

**Algebra**Level 4

If \(x,y\) are positive real numbers satisfying the system of equations \({ x }^{ 2 }+y\sqrt { xy } =336,{ y }^{ 2 }+x\sqrt { xy } =112\), then \(x+y\) equals:

**This problem is taken from Bhaskara Contest-2008(P)**

If \(x,y\) are positive real numbers satisfying the system of equations \({ x }^{ 2 }+y\sqrt { xy } =336,{ y }^{ 2 }+x\sqrt { xy } =112\), then \(x+y\) equals:

**This problem is taken from Bhaskara Contest-2008(P)**

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